Y=200+0.8Y+00+0.1Y+100+100-200-0.15Y

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Solution for Y=200+0.8Y+00+0.1Y+100+100-200-0.15Y equation: 


Simplifying
Y = 200 + 0.8Y + 0 + 0.1Y + 100 + 100 + -200 + -0.15Y

Reorder the terms:
Y = 200 + 0 + 100 + 100 + -200 + 0.8Y + 0.1Y + -0.15Y

Combine like terms: 200 + 0 = 200
Y = 200 + 100 + 100 + -200 + 0.8Y + 0.1Y + -0.15Y

Combine like terms: 200 + 100 = 300
Y = 300 + 100 + -200 + 0.8Y + 0.1Y + -0.15Y

Combine like terms: 300 + 100 = 400
Y = 400 + -200 + 0.8Y + 0.1Y + -0.15Y

Combine like terms: 400 + -200 = 200
Y = 200 + 0.8Y + 0.1Y + -0.15Y

Combine like terms: 0.8Y + 0.1Y = 0.9Y
Y = 200 + 0.9Y + -0.15Y

Combine like terms: 0.9Y + -0.15Y = 0.75Y
Y = 200 + 0.75Y

Solving
Y = 200 + 0.75Y

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Add '-0.75Y' to each side of the equation.
Y + -0.75Y = 200 + 0.75Y + -0.75Y

Combine like terms: Y + -0.75Y = 0.25Y
0.25Y = 200 + 0.75Y + -0.75Y

Combine like terms: 0.75Y + -0.75Y = 0.00
0.25Y = 200 + 0.00
0.25Y = 200

Divide each side by '0.25'.
Y = 800

Simplifying
Y = 800

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